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Aleks04 [339]
3 years ago
10

Slove a=lw for a if l=12m and w=6m

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0
A= 72m you multiphy 12 & 6 together & the equal 72
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A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Write an equation tha
elixir [45]

Answer:

40,000+300×

Step-by-step explanation:

300× × + the 40,000

8 0
3 years ago
Solve for t: F =2t+k/3g
pashok25 [27]

Answer:

F = \frac{2t + k}{3g} \\3Fg = 2t+k\\3Fg - k = 2t\\t = \frac{3Fg - k}{2}

5 0
3 years ago
Granola Crunch cereal is packaged in 1 pound boxes. Susan Torres, a quality control analyst who works for the manufacturer of th
sineoko [7]

Answer:

z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162    

p_v =2*P(z>3.162)=0.0016    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.

Step-by-step explanation:

Data given and notation    

\bar X=1.02 represent the sample mean

\sigma=0.04 represent the population standard deviation    

n=40 sample size    

\mu_o =1 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the true mean is equal to 1 pound or no :    

Null hypothesis:\mu =1    

Alternative hypothesis:\mu \neq 1    

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:    

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)    

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic    

We can replace in formula (1) the info given like this:    

z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162    

P-value    

Since is a two-sided test the p value would be:    

p_v =2*P(z>3.162)=0.0016    

Conclusion    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.    

5 0
3 years ago
Karissa deposits $165 into a new savings account. The account earns 2.75% simple interest per year. Karissa plans on keeping the
enyata [817]

Answer:$382

Step-by-step explanation:

To get The interest for 4 years

Amount*rate*time*duration

165*0.0275*12*4=$217

165+217=$382

3 0
3 years ago
In 2007, the population of Tallahassee, Florida was 168,979. Some researchers believe that the population of Tallahassee will in
tresset_1 [31]

Answer:

Number of year in which population will be 180,000 = 6 year (Approx.)

Step-by-step explanation:

Given:

Population in 2007 = 168,979

Rate of increase in population = 1% = 0.01

Future population = 180,000

Find:

Number of year in which population will be 180,000

Computation:

A = P[1+r]ⁿ

Future population = Population in 2007[1+Rate of increase in population]ⁿ

180,000 = 168,979[1+0.01]ⁿ

180,000 = 168,979[1.01]ⁿ

1.06522 = [1.01]ⁿ

n = 6 (Approx.)

Number of year in which population will be 180,000 = 6 year (Approx.)

4 0
2 years ago
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